Answer:
The table A represent a proportional relationship
The table B not represent a proportional relationship
Explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Verify each table
Table A
Find the value of k
For x=1,y=2 ------>

For x=3,y=6 ------>

For x=4,y=8 ------>

For x=5,y=10 ------>

All the values of k are the same
so
The table A represent a proportional relationship
The equation of the proportional relationship is equal to
Table B
Find the value of k
For x=1,y=3 ------>

For x=2,y=4 ------>

The values of k are different
so
The table B not represent a proportional relationship